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## Proof that π is irrational

en.wikipedia.org/wiki/Proof_that_π_is_irrational

In the 18th century, Johann Heinrich Lambert proved that the number π (pi) is irrational. That is ... Then Lambert proved that if x is non-zero and rational then this expression must be irratio...

## If 22/7 is rational, why is pi irrational? - Quora

www.quora.com/If-22-7-is-rational-why-is-pi-irrational

Feb 28, 2014 ... Because [math] \dfrac{22}{7} [/math] isn't pi. The definition of an irrational number is that it cannot be expressed as a ratio of two integers [math] ...

## how is pi an irrational number when it can be expressed as 22/7 ...

hubpages.com/education/forum/33827/how-is-pi-an-irrational-number-when-it-can-be-expressed-as-227

Pi is an irrational number simply because it does not have an exact decimal equivalent. ... 22/7 is a rational number but pi is not because 22/7 is only a rough or ...

## Ask Dr. Math FAQ: Integers, Rational Numbers, Irrational Numbers

mathforum.org/dr.math/faq/faq.integers.html

What's the difference between a rational number and an irrational number? ... and -3030 are integers, but numbers like 1/2, 4.00032, 2.5, Pi, and -9.90 are not.

## Fascinating irrational numbers: Pi and square roots

www.homeschoolmath.net/teaching/irrational_numbers.php

Most children learn about Pi and square roots somewhere during the middle ... Well, irrational numbers are harder to understand than rational numbers, but I ...

## Proving Pi is Irrational: a step-by-step guide to a “simple proof ...

mindyourdecisions.com/blog/2013/11/08/proving-pi-is-irrational-a-step-by-step-guide-to-a-simple-proof/

Nov 8, 2013 ... You might remember the terms rational and irrational numbers from math ... readers can directly check out several proofs that pi is irrational.

## Why is pi considered an irrational number? | Yahoo Answers

May 1, 2012 ... Pi is often approximated to 22/7 or 3.14, but is said to be an irrational number? why? pi is defined as the ratio between 2 rational quantities ...

## Is pi a real number? | Reference.com

Pi is a real number, as all numbers that exist on a number line are real. Real numbers include all rational and irrational numbers; pi is defined as an irrational.. .

## What are rational and irrational numbers? | Reference.com

www.reference.com/math/rational-irrational-numbers-ca3d1d6f3bf0665b

The fact that the number can be expressed as the ratio of two whole numbers means it is, by definition, rational. Irrational numbers, such a pi, cannot be written  ...

## Rational and irrational numbers explained with examples and non ...

www.mathwarehouse.com/arithmetic/numbers/rational-and-irrational-numbers-with-examples.php

π, π is probably the most famous irrational number out there! pi. 2 3, Although this number can be expressed as a fraction, we need more than to be a rational ...

Pi is an irrational number.

### Irrational Numbers - Math is Fun

www.mathsisfun.com

A Rational Number can be written as a Ratio of two integers (ie a simple fraction). Example: 1.5 is rational, ... Example: π (Pi) is a famous irrational number.

### fractions - why is PI considered irrational if it can be expressed as ...

math.stackexchange.com

Mar 7, 2015 ... Irrational numbers, i.e. numbers you can't express as the ratio a/b, a,b ... be approximated as accurately as wanted by rational numbers does ...